Question

A park is in the shape of a rectangle 2 miles long and 1.5 miles wide. How much shorter if you walk diaganolly across the park rather than along two sides?

Answer 1

idk

Explanation:

Answer 2

You can answer this by using Pythagoras theorem. Okay, let me draw this first.

2 miles
V
________________________
| |
| |
| | << 1.5 miles
|_______________________|

^ Assume this is the rectangle. The long side is 2 miles while the shorter side is 1.5 miles.

So, to get the shortest distance, let's cut out a triangle from the rectangle.

/|
/ |
/ |
What we want to find is this one > / | << 2 miles
/ |
/______|
^ 1.5 miles (I know the size is not logical,but imagine it please)

So to get the diagonal length =
`\sqrt{{a^(2) }+ b^(2)}`
=
`\sqrt{{2^(2) }+ 1.5^(2)}`
= 2.5 miles

To calculate how much shorter = ( 2 miles + 1.5 miles) - 2.5 miles
= 3.5 miles - 2.5 miles
= 1.0 miles

Hope this help !